A GAUGE-THEORY OF DAMAGE

被引：6

作者：

LAGOUDAS, DC ^{[1
]}

机构：

[1] RENSSELAER POLYTECH INST,DEPT CIVIL ENGN,TROY,NY 12180

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 1991年 / 29卷 / 05期

关键词：

Elasticity - Mechanics--Continuous Media - Plasticity - Strain--Analysis;

D O I：

10.1016/0020-7225(91)90064-A

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The gauge theory of defects is formulated for solids with damage due to microcracking. The gauge damage potentials are introduced to model crack densities and currents through minimal replacment, while minimal coupling expands the elastic Lagrangian to include derivatives of the damage potentials. Stationarization of the action integral leads to field equations for the displacements and the damage potentials. The field equations are explicitly solved for the case of a 1-D solid (rod) under a quasi-static loading cycle and a permanent set is observed.

引用

页码：597 / 606

页数：10

共 11 条

[1] A THERMOMECHANICAL CONSTITUTIVE THEORY FOR ELASTIC COMPOSITES WITH DISTRIBUTED DAMAGE .1. THEORETICAL DEVELOPMENT [J].

ALLEN, DH ;

HARRIS, CE ;

GROVES, SE .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1987, 23 (09) :1301-1318

[2] CREEP CONSTITUTIVE-EQUATIONS FOR DAMAGED MATERIALS [J].

COCKS, ACF ;

LECKIE, FA .

ADVANCES IN APPLIED MECHANICS, 1987, 25 :239-294

[3]

Edelen DGB., 1988, GAUGE THEORY DEFECTS

[4]

KACHANOV LM, 1958, AKAD NAUK SSR OTD TE, V8

[5]

KACHANOV M, 1987, DAMAGE MECHANICS AD, V12, P99

[6]

KRAJCINOVIC D, 1987, CISM COURSES LECTURE, V295, P195

[7] MATERIAL AND SPATIAL GAUGE-THEORIES OF SOLIDS .1. GAUGE CONSTRUCTS, GEOMETRY, AND KINEMATICS [J].

LAGOUDAS, DC ;

EDELEN, DGB .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1989, 27 (04) :411-431

[8] REPRESENTATION OF MECHANICAL-BEHAVIOR IN THE PRESENCE OF CHANGING INTERNAL STRUCTURE [J].

ONAT, ET ;

LECKIE, FA .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (01) :1-10

[9]

Rice J.R., 1975, CONSTITUTIVE EQUATIO, P23

[10] A CONTINUUM-MECHANICS CHARACTERIZATION OF DAMAGE IN COMPOSITE-MATERIALS [J].

TALREJA, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 399 (1817) :195-216

← 1 2 →